Presentation 2011-03-11
Composition of Stability Transformation System for Unstable Periodic Orbits
Yuki KAWAI, Tadashi TSUBONE,
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Abstract(in English) In this report, we consider a stability transformation method of unstable periodic orbits of a simple chaotic circuit with linear characteristics. In previous work, we have proposed a controlling method which transforms stability of any fixed point embedded on the chaos attractor without the information of the location and shown a procedure to obtain the transformed systems. In this work, we introduce an extended method for periodic solutions, and provide the theoretical analysis on an example of Bernoulli shift map. Also, we confirm the some results by laboratory measurements.
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Keyword(in English) stability transformation / chaos / unstable periodic orbit
Paper # NLP2010-194
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Committee NLP
Conference Date 2011/3/3(1days)
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Registration To Nonlinear Problems (NLP)
Language JPN
Title (in Japanese) (See Japanese page)
Sub Title (in Japanese) (See Japanese page)
Title (in English) Composition of Stability Transformation System for Unstable Periodic Orbits
Sub Title (in English)
Keyword(1) stability transformation
Keyword(2) chaos
Keyword(3) unstable periodic orbit
1st Author's Name Yuki KAWAI
1st Author's Affiliation Nagaoka University of Technology()
2nd Author's Name Tadashi TSUBONE
2nd Author's Affiliation Nagaoka University of Technology
Date 2011-03-11
Paper # NLP2010-194
Volume (vol) vol.110
Number (no) 465
Page pp.pp.-
#Pages 6
Date of Issue